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Maths-

General

Easy

Question

$triangle A B C$ is an Isosceles Triangle, if $A equals 92 to the power of ring operator end exponent$ then find ABD .

44°
88°
92°
136°

The correct answer is: 88°

$I n space i s o s c e l e s space t r i a n g l e space comma t w o space s i d e s space a r e space e q u a l space a n d space h e n c e space t w o space a n g l e s space f o r m e d space b y space t h e space e q u a l space s i d e s space a r e space a l s o space e q u a l I n space t r i a n g l e space A B C space comma angle A equals 92 to the power of ring operator A c c space t o space a n g l e space s u m space p r o p e r t y space t h e space s u m space o f space a l l space a n g l e s space o f space a space t r i a n g l e space w i l l space b e space e q u a l space t o space 180 to the power of ring operator S o space i t space i s space c l e a r space t h a t space angle B space a n d space angle C space a r e space e q u a l space a n g l e s L e t space angle B space b e space x space t h e n space angle C space w i l l space a l s o space b e space x angle A plus angle B plus angle C equals 180 to the power of ring operator 92 plus x plus x equals 180 to the power of ring operator 2 x equals 88 to the power of ring operator x equals 44 to the power of ring operator angle A B D equals angle B plus angle C space space left parenthesis e x t e r i o r space a n g l e space o f space a space t r i a n g l e space i s space e q u a l space t o space t h e space s u m space o f space b o t h space o p p o s i t e space i n t e r i o r space a n g l e s right parenthesis angle A B D equals 44 to the power of ring operator plus 44 to the power of ring operator equals 88 to the power of ring operator$

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